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Finding the Fourth Proportional to 554.23, 831.57 and 280.40

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Solution

The fourth proportional to 554.23, 831.57 and 280.40 is: 420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.23 : 831.57 = 280.40 : x
  2. Step 2: Convert to fraction form
    554.23/831.57 = 280.40/x
  3. Step 3: Cross multiply
    554.23x = 831.57 × 280.40
  4. Step 4: Simplify right side
    554.23x = 233,172.23
  5. Step 5: Solve for x
    x = 233,172.23/554.23
  6. Step 6: Final answer
    x = 420.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.